ditentukan matriks transformasi T1=[1 -1 1 -2] dan T2=[0 -1 1 0] hasil transformasi titik (2,-1) terhadap T1 dilanjutkan T2 adalah?

jawab

Titik (x,y)= (2 , -1)
T1 dilanjutkan T2 → (x',y') = (T2 o T1) (x,y)

[tex] \left[\begin{array}{ccc}x'\\y'\end{array}\right]\, =\,\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\,\left[\begin{array}{ccc}1&-1\\1&-2\end{array}\right]\, \left[\begin{array}{ccc}2\\-1\end{array}\right] [/tex]

[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right]\, =\,\left[\begin{array}{ccc}-1&2\\1&-1\end{array}\right]\,\left[\begin{array}{ccc}2\\-1\end{array}\right]\,=\,\left[\begin{array}{ccc}-4\\3\end{array}\right][/tex]